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Finding the Fourth Proportional to 3,906.42, 5,394.48 and 2,511.60

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Solution

The fourth proportional to 3,906.42, 5,394.48 and 2,511.60 is: 3,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.42 : 5,394.48 = 2,511.60 : x
  2. Step 2: Convert to fraction form
    3,906.42/5,394.48 = 2,511.60/x
  3. Step 3: Cross multiply
    3,906.42x = 5,394.48 × 2,511.60
  4. Step 4: Simplify right side
    3,906.42x = 13,548,775.97
  5. Step 5: Solve for x
    x = 13,548,775.97/3,906.42
  6. Step 6: Final answer
    x = 3,468.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.